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Finding the Third Proportional to 81,494 and 129,666

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Solution

The third proportional to 81,494 and 129,666 is: 206,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494 : 129,666 = 129,666 : x
  2. Step 2: Convert to fraction form
    81,494/129,666 = 129,666/x
  3. Step 3: Cross multiply
    81,494x = 129,666 × 129,666
  4. Step 4: Simplify right side
    81,494x = 16,813,271,556
  5. Step 5: Solve for x
    x = 16,813,271,556/81,494
  6. Step 6: Final answer
    x = 206,313.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.